Geodesic
Finite atomistic lattices that can be represented as lattices of quasivarieties
Fundamenta Mathematicae, Tome 142 (1993) no. 1, pp. 19-43.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that a finite atomistic lattice can be represented as a lattice of quasivarieties if and only if it is isomorphic to the lattice of all subsemilattices of a finite semilattice. This settles a conjecture that appeared in the context of [11].
DOI : 10.4064/fm-142-1-19-43
Keywords: atomistic lattice, quasivariety, Mal'cev problem, equa-closure operator, semilattice

K. Adaricheva 1 ; Wiesław Dziobiak 1 ; V. Gorbunov 1

1 
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K. Adaricheva; Wiesław Dziobiak; V. Gorbunov. Finite atomistic lattices that can be represented as lattices of quasivarieties. Fundamenta Mathematicae, Tome 142 (1993) no. 1, pp. 19-43. doi : 10.4064/fm-142-1-19-43. http://geodesic.mathdoc.fr/articles/10.4064/fm-142-1-19-43/

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